5w+16=-2(w-1)

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Solution for 5w+16=-2(w-1) equation: 


Simplifying
5w + 16 = -2(w + -1)

Reorder the terms:
16 + 5w = -2(w + -1)

Reorder the terms:
16 + 5w = -2(-1 + w)
16 + 5w = (-1 * -2 + w * -2)
16 + 5w = (2 + -2w)

Solving
16 + 5w = 2 + -2w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '2w' to each side of the equation.
16 + 5w + 2w = 2 + -2w + 2w

Combine like terms: 5w + 2w = 7w
16 + 7w = 2 + -2w + 2w

Combine like terms: -2w + 2w = 0
16 + 7w = 2 + 0
16 + 7w = 2

Add '-16' to each side of the equation.
16 + -16 + 7w = 2 + -16

Combine like terms: 16 + -16 = 0
0 + 7w = 2 + -16
7w = 2 + -16

Combine like terms: 2 + -16 = -14
7w = -14

Divide each side by '7'.
w = -2

Simplifying
w = -2

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